72398129472 has 42 divisors (see below), whose sum is σ = 207516167898. Its totient is φ = 24132709632.

The previous prime is 72398129471. The next prime is 72398129497. The reversal of 72398129472 is 27492189327.

It is a happy number.

72398129472 is a `hidden beast` number, since 72 + 3 + 9 + 81 + 29 + 472 = 666.

It can be written as a sum of positive squares in only one way, i.e., 36368015616 + 36030113856 = 190704^2 + 189816^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72398129471) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 62845023 + ... + 62846174.

Almost surely, 2^72398129472 is an apocalyptic number.

72398129472 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72398129472 is an abundant number, since it is smaller than the sum of its proper divisors (135118038426).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72398129472 is a wasteful number, since it uses less digits than its factorization.

72398129472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125691215 (or 125691202 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The spelling of 72398129472 in words is "seventy-two billion, three hundred ninety-eight million, one hundred twenty-nine thousand, four hundred seventy-two".